Problem 1283. Points on a Sphere

James

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Given a sphere of radius R, determine how many points on the surface of that sphere have three integer coordinates. Do not output the actual coordinates, but just the number of points.

For example, a sphere of radius 1 has 6 points with three integer coordinates:

(1,0,0)
(-1,0,0)
(0,-1,0)
(0,1,0)
(0,0,1)
(0,0,-1)

Your output of surface_points(1) would be 6. Good luck!

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